2161575749760 has 512 divisors, whose sum is σ = 7976021114880. Its totient is φ = 487719567360.

The previous prime is 2161575749701. The next prime is 2161575749819. The reversal of 2161575749760 is 679475751612.

It is an interprime number because it is at equal distance from previous prime (2161575749701) and next prime (2161575749819).

It is a super-2 number, since 2×2161575749760² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2161575749694 and 2161575749703.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 561884157 + ... + 561888003.

It is an arithmetic number, because the mean of its divisors is an integer number (15578166240).

Almost surely, 2^{2161575749760} is an apocalyptic number.

2161575749760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2161575749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3988010557440).

2161575749760 is an abundant number, since it is smaller than the sum of its proper divisors (5814445365120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2161575749760 is a wasteful number, since it uses less digits than its factorization.

2161575749760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 60.

The spelling of 2161575749760 in words is "two trillion, one hundred sixty-one billion, five hundred seventy-five million, seven hundred forty-nine thousand, seven hundred sixty".